What is the Greatest Common Factor of 11526 and 11532?

Greatest common factor (GCF) of 11526 and 11532 is 6.

GCF(11526,11532) = 6

We will now calculate the prime factors of 11526 and 11532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11526 and 11532.

How to find the GCF of 11526 and 11532?

We will first find the prime factorization of 11526 and 11532. After we will calculate the factors of 11526 and 11532 and find the biggest common factor number .

Step-1: Prime Factorization of 11526

Prime factors of 11526 are 2, 3, 17, 113. Prime factorization of 11526 in exponential form is:

11526 = 2¹ × 3¹ × 17¹ × 113¹

Step-2: Prime Factorization of 11532

Prime factors of 11532 are 2, 3, 31. Prime factorization of 11532 in exponential form is:

11532 = 2² × 3¹ × 31²

Step-3: Factors of 11526

List of positive integer factors of 11526 that divides 11526 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 113, 226, 339, 678, 1921, 3842, 5763

Step-4: Factors of 11532

List of positive integer factors of 11532 that divides 11526 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372, 961, 1922, 2883, 3844, 5766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11526 and 11532. The biggest common factor number is the GCF number.
So the greatest common factor 11526 and 11532 is 6.

Also check out the Least Common Multiple of 11526 and 11532